Zero-Sum Problem
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Zero-Sum Problem

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In number theory, zero-sum problems are a certain class of combinatorial questions. In general, a finite abelian group G is considered. The zero-sum problem for the integer n is the following: Find the smallest integer k such that any sequence of elements of G with length k contains n terms that sum to 0. Explicitly this says that any multiset of 2n 1 integers has a subset of size n the sum of whose elements is a multiple of n. This result is generally known as the EG...